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Finding the Third Proportional to 686,824.31 and 1,510,677.84

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Solution

The third proportional to 686,824.31 and 1,510,677.84 is: 3,322,753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,824.31 : 1,510,677.84 = 1,510,677.84 : x
  2. Step 2: Convert to fraction form
    686,824.31/1,510,677.84 = 1,510,677.84/x
  3. Step 3: Cross multiply
    686,824.31x = 1,510,677.84 × 1,510,677.84
  4. Step 4: Simplify right side
    686,824.31x = 2,282,147,547,597.15
  5. Step 5: Solve for x
    x = 2,282,147,547,597.15/686,824.31
  6. Step 6: Final answer
    x = 3,322,753.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.